Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients

PIRO, STELLA

2008-01-01

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Abstract

The aim of this paper is to investigate a class of reaction–diffusion parabolic systems with initial and boundary values of 4 Dirichlet type. Sufficient conditions on data are established in order to preclude blow-up and obtain that the solutions and their 5 gradients decay exponentially in time.